{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2021-01-01 00:00:00        -5\n",
      "2021-01-01 00:00:01       -10\n",
      "2021-01-01 00:00:02       -15\n",
      "2021-01-01 00:00:03       -20\n",
      "2021-01-01 00:00:04       -25\n",
      "                        ...  \n",
      "2021-01-03 07:33:15   -960008\n",
      "2021-01-03 07:33:16   -960006\n",
      "2021-01-03 07:33:17   -960004\n",
      "2021-01-03 07:33:18   -960002\n",
      "2021-01-03 07:33:19   -960000\n",
      "Freq: S, Name: frequency, Length: 200000, dtype: int32\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入模块\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 设置参数\n",
    "base_freq = 0 # 基准频率，单位为赫兹\n",
    "n_stages = 20 # 频率变化的阶段数\n",
    "n_points = 10000 # 每个阶段的数据点数\n",
    "freq_range = 20 # 频率变化的范围，单位为赫兹\n",
    "time_start = '2021-01-01 00:00:00' # 时间序列的起始时间\n",
    "time_freq = 'S' # 时间序列的频率，单位为秒\n",
    "\n",
    "# 生成时间序列索引\n",
    "time_index = pd.date_range(start=time_start, periods=n_stages*n_points, freq=time_freq)\n",
    "\n",
    "# 生成频率变化的序列\n",
    "freq_change = np.random.randint(-freq_range, freq_range, size=n_stages) # 每个阶段的频率变化，单位为赫兹\n",
    "freq_series = np.repeat(freq_change, n_points) # 将每个阶段的频率变化重复 n_points 次，形成一个序列\n",
    "freq_series = freq_series.cumsum() # 对序列进行累加，得到每个数据点的频率偏移\n",
    "freq_series = freq_series + base_freq # 将频率偏移加上基准频率，得到每个数据点的频率值\n",
    "\n",
    "# 创建时间序列数据\n",
    "data = pd.Series(data=freq_series, index=time_index, name='frequency') # 使用 pandas.Series 创建时间序列数据，指定数据值，索引和名称\n",
    "print(data) # 打印数据\n",
    "\n",
    "# 绘制数据图形\n",
    "plt.figure(figsize=(10, 6)) # 创建一个 10 x 6 英寸的图形\n",
    "plt.plot(data.index, data.values, color='blue', label='frequency') # 绘制数据的折线图，指定颜色和标签\n",
    "plt.xlabel('time') # 设置 x 轴的标签\n",
    "plt.ylabel('frequency (Hz)') # 设置 y 轴的标签\n",
    "plt.title('Time series data of a signal with Doppler shift') # 设置图形的标题\n",
    "plt.legend() # 显示图例\n",
    "plt.show() # 显示图形\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2021-01-01 00:00:00     103\n",
       "2021-01-01 00:00:01     106\n",
       "2021-01-01 00:00:02     109\n",
       "2021-01-01 00:00:03     112\n",
       "2021-01-01 00:00:04     115\n",
       "                       ... \n",
       "2021-01-01 05:33:15   -1964\n",
       "2021-01-01 05:33:16   -1948\n",
       "2021-01-01 05:33:17   -1932\n",
       "2021-01-01 05:33:18   -1916\n",
       "2021-01-01 05:33:19   -1900\n",
       "Freq: S, Name: frequency, Length: 20000, dtype: int32"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义频率变化的阶段数\n",
    "num_stages = 20\n",
    "\n",
    "# 定义每个阶段的持续时间（采样点数）\n",
    "stage_duration = 100\n",
    "\n",
    "# 定义每个阶段的频率变化方式\n",
    "# 这里只是一个示例，你可以根据需要进行修改\n",
    "frequency_changes = np.linspace(-0.1, 0.1, num_stages)\n",
    "\n",
    "# 生成时间序列数据\n",
    "time_series = []\n",
    "for stage in range(num_stages):\n",
    "    # 计算当前阶段的起始频率\n",
    "    start_frequency = stage * frequency_changes[stage]\n",
    "    \n",
    "    # 生成当前阶段的频率序列\n",
    "    frequencies = np.linspace(start_frequency, start_frequency + frequency_changes[stage], stage_duration)\n",
    "    \n",
    "    # 将当前阶段的频率序列添加到时间序列中\n",
    "    time_series.extend(frequencies)\n",
    "\n",
    "# 绘制时间序列数据\n",
    "plt.plot(time_series)\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Doppler Shift Signal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "t",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
